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CentralCycle.tbl.md

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CentralCycle

['A269940', 'A111999', 'A259456']

CentralCycle Triangle view

Row Seq
Row0 [1]
Row1 [0, 1]
Row2 [0, 2, 3]
Row3 [0, 6, 20, 15]
Row4 [0, 24, 130, 210, 105]
Row5 [0, 120, 924, 2380, 2520, 945]
Row6 [0, 720, 7308, 26432, 44100, 34650, 10395]
Row7 [0, 5040, 64224, 303660, 705320, 866250, 540540, 135135]
Row8 [0, 40320, 623376, 3678840, 11098780, 18858840, 18288270, 9459450, 2027025]
Row9 [0, 362880, 6636960, 47324376, 177331440, 389449060, 520059540, 416215800, 183783600, 34459425]

CentralCycle Triangles

Flat Seq
Triangle [[1], [0, 1], [0, 2, 3], [0, 6, 20, 15], [0, 24, 130, 210, 105], [0, 120, 924, 2380, 2520, 945], [0, 720, 7308, 26432, 44100, 34650, 10395], [0, 5040, 64224, 303660, 705320, 866250, 540540, 135135], [0, 40320, 623376, 3678840, 11098780, 18858840, 18288270, 9459450, 2027025], [0, 362880, 6636960, 47324376, 177331440, 389449060, 520059540, 416215800, 183783600, 34459425]]
RevTabl [[1], [1, 0], [3, 2, 0], [15, 20, 6, 0], [105, 210, 130, 24, 0], [945, 2520, 2380, 924, 120, 0], [10395, 34650, 44100, 26432, 7308, 720, 0], [135135, 540540, 866250, 705320, 303660, 64224, 5040, 0], [2027025, 9459450, 18288270, 18858840, 11098780, 3678840, 623376, 40320, 0], [34459425, 183783600, 416215800, 520059540, 389449060, 177331440, 47324376, 6636960, 362880, 0]]
AntiDiag [[1], [0], [0, 1], [0, 2], [0, 6, 3], [0, 24, 20], [0, 120, 130, 15], [0, 720, 924, 210], [0, 5040, 7308, 2380, 105], [0, 40320, 64224, 26432, 2520]]
AccTabl [[1], [0, 1], [0, 2, 5], [0, 6, 26, 41], [0, 24, 154, 364, 469], [0, 120, 1044, 3424, 5944, 6889], [0, 720, 8028, 34460, 78560, 113210, 123605], [0, 5040, 69264, 372924, 1078244, 1944494, 2485034, 2620169], [0, 40320, 663696, 4342536, 15441316, 34300156, 52588426, 62047876, 64074901], [0, 362880, 6999840, 54324216, 231655656, 621104716, 1141164256, 1557380056, 1741163656, 1775623081]]
RevAccTabl [[1], [1, 0], [5, 2, 0], [41, 26, 6, 0], [469, 364, 154, 24, 0], [6889, 5944, 3424, 1044, 120, 0], [123605, 113210, 78560, 34460, 8028, 720, 0], [2620169, 2485034, 1944494, 1078244, 372924, 69264, 5040, 0], [64074901, 62047876, 52588426, 34300156, 15441316, 4342536, 663696, 40320, 0], [1775623081, 1741163656, 1557380056, 1141164256, 621104716, 231655656, 54324216, 6999840, 362880, 0]]
AccRevTabl [[1], [1, 1], [3, 5, 5], [15, 35, 41, 41], [105, 315, 445, 469, 469], [945, 3465, 5845, 6769, 6889, 6889], [10395, 45045, 89145, 115577, 122885, 123605, 123605], [135135, 675675, 1541925, 2247245, 2550905, 2615129, 2620169, 2620169], [2027025, 11486475, 29774745, 48633585, 59732365, 63411205, 64034581, 64074901, 64074901], [34459425, 218243025, 634458825, 1154518365, 1543967425, 1721298865, 1768623241, 1775260201, 1775623081, 1775623081]]
DiffxTabl [[1], [0, 2], [0, 4, 9], [0, 12, 60, 60], [0, 48, 390, 840, 525], [0, 240, 2772, 9520, 12600, 5670], [0, 1440, 21924, 105728, 220500, 207900, 72765], [0, 10080, 192672, 1214640, 3526600, 5197500, 3783780, 1081080], [0, 80640, 1870128, 14715360, 55493900, 113153040, 128017890, 75675600, 18243225], [0, 725760, 19910880, 189297504, 886657200, 2336694360, 3640416780, 3329726400, 1654052400, 344594250]]

CentralCycle Row sums

Trait Seq
RowSum [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
EvenSum [1, 0, 3, 20, 235, 3444, 61803, 1310084, 32037451, 887811540]
OddSum [0, 1, 2, 21, 234, 3445, 61802, 1310085, 32037450, 887811541]
AltSum [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]
AbsSum [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
AccSum [1, 1, 7, 73, 1011, 17421, 358583, 8575169, 233499227, 7129778357]
AccRevSum [1, 2, 13, 132, 1803, 30802, 630257, 15006352, 407249783, 12402075534]
DiagSum [1, 0, 1, 2, 9, 44, 265, 1854, 14833, 133496]

CentralCycle Transforms

Trans Seq
RowLcm [1, 1, 6, 60, 10920, 1413720, 39840292800, 6652505239380000, 2048503569859181635200, 151035544919118549362706633600]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 3, 20, 210, 2520, 44100, 866250, 18858840, 520059540]
CentralE [1, 2, 130, 26432, 11098780]
CentralO [0, 6, 924, 303660, 177331440]
ColMiddle [1, 0, 2, 6, 130, 924, 26432, 303660, 11098780, 177331440]
ColLeft [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
ColRight [1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425]
BinConv [1, 1, 7, 93, 1821, 47185, 1522375, 58808449, 2646575953, 135989069049]
InvBinConv [1, 1, -1, -27, -51, 3505, 40655, -828919, -29640527, 145577529]
TransSqrs [0, 1, 14, 221, 4114, 89181, 2213910, 62017301, 1936315234, 66696441109]
TransNat0 [0, 1, 8, 91, 1334, 23913, 506652, 12386183, 343174882, 10626452453]
TransNat1 [1, 2, 13, 132, 1803, 30802, 630257, 15006352, 407249783, 12402075534]
PosHalf [1, 1, 7, 79, 1237, 24817, 607519, 17560063, 585330109, 22104345409]
NegHalf [1, 1, -1, -1, 13, -47, -73, 2447, -16811, -15551]

CentralCycle Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425]
DiagRow1 [0, 2, 20, 210, 2520, 34650, 540540, 9459450, 183783600, 3928374450]
DiagRow2 [0, 6, 130, 2380, 44100, 866250, 18288270, 416215800, 10199989800, 268438920750]
DiagRow3 [0, 24, 924, 26432, 705320, 18858840, 520059540, 14980405440, 453247114320, 14433720701400]
DiagRow4 [0, 120, 7308, 303660, 11098780, 389449060, 13642629000, 486591585480, 17856935296200, 678103775949600]
DiagRow5 [0, 720, 64224, 3678840, 177331440, 7934927000, 345240896000, 14972984666640, 656598399256800, 29363447854540800]
DiagRow6 [0, 5040, 623376, 47324376, 2920525608, 162831789120, 8637235647040, 448594185959920, 23209044289551120, 1209167319314114160]
DiagRow7 [0, 40320, 6636960, 647536032, 49952862960, 3404554433280, 216752221445760, 13306928148113600, 803351393628623840, 48300449110625712000]
DiagRow8 [0, 362880, 76998240, 9418945536, 890577127440, 73017236532240, 5505619701582000, 395063504843607600, 27563542664861323120, 1896599794387175878000]
DiagRow9 [0, 3628800, 967524480, 145410580224, 16575803322624, 1612674717387552, 142365888379391040, 11823446650905970080, 945287743578415036800, 73889075987105363784800]

CentralCycle Diagonals as columns

DiagCol Seq
DiagCol0 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol1 [1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
DiagCol2 [3, 20, 130, 924, 7308, 64224, 623376, 6636960, 76998240, 967524480]
DiagCol3 [15, 210, 2380, 26432, 303660, 3678840, 47324376, 647536032, 9418945536, 145410580224]
DiagCol4 [105, 2520, 44100, 705320, 11098780, 177331440, 2920525608, 49952862960, 890577127440, 16575803322624]
DiagCol5 [945, 34650, 866250, 18858840, 389449060, 7934927000, 162831789120, 3404554433280, 73017236532240, 1612674717387552]
DiagCol6 [10395, 540540, 18288270, 520059540, 13642629000, 345240896000, 8637235647040, 216752221445760, 5505619701582000, 142365888379391040]
DiagCol7 [135135, 9459450, 416215800, 14980405440, 486591585480, 14972984666640, 448594185959920, 13306928148113600, 395063504843607600, 11823446650905970080]
DiagCol8 [2027025, 183783600, 10199989800, 453247114320, 17856935296200, 656598399256800, 23209044289551120, 803351393628623840, 27563542664861323120, 945287743578415036800]
DiagCol9 [34459425, 3928374450, 268438920750, 14433720701400, 678103775949600, 29363447854540800, 1209167319314114160, 48300449110625712000, 1896599794387175878000, 73889075987105363784800]

CentralCycle Polynomial values as rows

PolyRow Seq
PolyRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow1 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
PolyRow2 [0, 5, 16, 33, 56, 85, 120, 161, 208, 261]
PolyRow3 [0, 41, 212, 603, 1304, 2405, 3996, 6167, 9008, 12609]
PolyRow4 [0, 469, 3928, 15417, 42496, 95245, 186264, 330673, 546112, 852741]
PolyRow5 [0, 6889, 93536, 506691, 1780384, 4849325, 11162304, 22795591, 42566336, 74145969]
PolyRow6 [0, 123605, 2721808, 20351601, 91160576, 301755925, 817557840, 1920637313, 4055038336, 7879584501]
PolyRow7 [0, 2620169, 93593216, 966015531, 5516187584, 22190803925, 70766573184, 191243348471, 456531848576, 989617050369]
PolyRow8 [0, 64074901, 3713245504, 52906036329, 385133814016, 1882926644125, 7067769414336, 21972157620049, 59305251856384, 143409319708581]
PolyRow9 [0, 1775623081, 166956801728, 3283794968787, 30474546148864, 181070766638525, 800003809279296, 2860981871511463, 8731153645724672, 23552891957893329]

CentralCycle Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
PolyCol1 [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
PolyCol2 [1, 2, 16, 212, 3928, 93536, 2721808, 93593216, 3713245504, 166956801728]
PolyCol3 [1, 3, 33, 603, 15417, 506691, 20351601, 966015531, 52906036329, 3283794968787]
PolyCol4 [1, 4, 56, 1304, 42496, 1780384, 91160576, 5516187584, 385133814016, 30474546148864]
PolyCol5 [1, 5, 85, 2405, 95245, 4849325, 301755925, 22190803925, 1882926644125, 181070766638525]
PolyCol6 [1, 6, 120, 3996, 186264, 11162304, 817557840, 70766573184, 7067769414336, 800003809279296]
PolyCol7 [1, 7, 161, 6167, 330673, 22795591, 1920637313, 191243348471, 21972157620049, 2860981871511463]
PolyCol8 [1, 8, 208, 9008, 546112, 42566336, 4055038336, 456531848576, 59305251856384, 8731153645724672]
PolyCol9 [1, 9, 261, 12609, 852741, 74145969, 7879584501, 989617050369, 143409319708581, 23552891957893329]

CentralCycle:Rev

[]

CentralCycle:Rev Triangle view

Row Seq
Row0 [1]
Row1 [1, 0]
Row2 [3, 2, 0]
Row3 [15, 20, 6, 0]
Row4 [105, 210, 130, 24, 0]
Row5 [945, 2520, 2380, 924, 120, 0]
Row6 [10395, 34650, 44100, 26432, 7308, 720, 0]
Row7 [135135, 540540, 866250, 705320, 303660, 64224, 5040, 0]
Row8 [2027025, 9459450, 18288270, 18858840, 11098780, 3678840, 623376, 40320, 0]
Row9 [34459425, 183783600, 416215800, 520059540, 389449060, 177331440, 47324376, 6636960, 362880, 0]

CentralCycle:Rev Triangles

Flat Seq
Triangle [[1], [1, 0], [3, 2, 0], [15, 20, 6, 0], [105, 210, 130, 24, 0], [945, 2520, 2380, 924, 120, 0], [10395, 34650, 44100, 26432, 7308, 720, 0], [135135, 540540, 866250, 705320, 303660, 64224, 5040, 0], [2027025, 9459450, 18288270, 18858840, 11098780, 3678840, 623376, 40320, 0], [34459425, 183783600, 416215800, 520059540, 389449060, 177331440, 47324376, 6636960, 362880, 0]]
RevTabl [[1], [0, 1], [0, 2, 3], [0, 6, 20, 15], [0, 24, 130, 210, 105], [0, 120, 924, 2380, 2520, 945], [0, 720, 7308, 26432, 44100, 34650, 10395], [0, 5040, 64224, 303660, 705320, 866250, 540540, 135135], [0, 40320, 623376, 3678840, 11098780, 18858840, 18288270, 9459450, 2027025], [0, 362880, 6636960, 47324376, 177331440, 389449060, 520059540, 416215800, 183783600, 34459425]]
AntiDiag [[1], [1], [3, 0], [15, 2], [105, 20, 0], [945, 210, 6], [10395, 2520, 130, 0], [135135, 34650, 2380, 24], [2027025, 540540, 44100, 924, 0], [34459425, 9459450, 866250, 26432, 120]]
AccTabl [[1], [1, 1], [3, 5, 5], [15, 35, 41, 41], [105, 315, 445, 469, 469], [945, 3465, 5845, 6769, 6889, 6889], [10395, 45045, 89145, 115577, 122885, 123605, 123605], [135135, 675675, 1541925, 2247245, 2550905, 2615129, 2620169, 2620169], [2027025, 11486475, 29774745, 48633585, 59732365, 63411205, 64034581, 64074901, 64074901], [34459425, 218243025, 634458825, 1154518365, 1543967425, 1721298865, 1768623241, 1775260201, 1775623081, 1775623081]]
RevAccTabl [[1], [1, 1], [5, 5, 3], [41, 41, 35, 15], [469, 469, 445, 315, 105], [6889, 6889, 6769, 5845, 3465, 945], [123605, 123605, 122885, 115577, 89145, 45045, 10395], [2620169, 2620169, 2615129, 2550905, 2247245, 1541925, 675675, 135135], [64074901, 64074901, 64034581, 63411205, 59732365, 48633585, 29774745, 11486475, 2027025], [1775623081, 1775623081, 1775260201, 1768623241, 1721298865, 1543967425, 1154518365, 634458825, 218243025, 34459425]]
AccRevTabl [[1], [0, 1], [0, 2, 5], [0, 6, 26, 41], [0, 24, 154, 364, 469], [0, 120, 1044, 3424, 5944, 6889], [0, 720, 8028, 34460, 78560, 113210, 123605], [0, 5040, 69264, 372924, 1078244, 1944494, 2485034, 2620169], [0, 40320, 663696, 4342536, 15441316, 34300156, 52588426, 62047876, 64074901], [0, 362880, 6999840, 54324216, 231655656, 621104716, 1141164256, 1557380056, 1741163656, 1775623081]]
DiffxTabl [[1], [1, 0], [3, 4, 0], [15, 40, 18, 0], [105, 420, 390, 96, 0], [945, 5040, 7140, 3696, 600, 0], [10395, 69300, 132300, 105728, 36540, 4320, 0], [135135, 1081080, 2598750, 2821280, 1518300, 385344, 35280, 0], [2027025, 18918900, 54864810, 75435360, 55493900, 22073040, 4363632, 322560, 0], [34459425, 367567200, 1248647400, 2080238160, 1947245300, 1063988640, 331270632, 53095680, 3265920, 0]]

CentralCycle:Rev Row sums

Trait Seq
RowSum [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
EvenSum [1, 1, 3, 21, 235, 3445, 61803, 1310085, 32037451, 887811541]
OddSum [0, 0, 2, 20, 234, 3444, 61802, 1310084, 32037450, 887811540]
AltSum [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
AbsSum [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
AccSum [1, 2, 13, 132, 1803, 30802, 630257, 15006352, 407249783, 12402075534]
AccRevSum [1, 1, 7, 73, 1011, 17421, 358583, 8575169, 233499227, 7129778357]
DiagSum [1, 1, 3, 17, 125, 1161, 13045, 172189, 2612589, 44811677]

CentralCycle:Rev Transforms

Trans Seq
RowLcm [1, 1, 6, 60, 10920, 1413720, 39840292800, 6652505239380000, 2048503569859181635200, 151035544919118549362706633600]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 3, 20, 210, 2520, 44100, 866250, 18858840, 520059540]
CentralE [1, 2, 130, 26432, 11098780]
CentralO [1, 20, 2380, 705320, 389449060]
ColMiddle [1, 1, 2, 20, 130, 2380, 26432, 705320, 11098780, 389449060]
ColLeft [1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425]
ColRight [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
BinConv [1, 1, 7, 93, 1821, 47185, 1522375, 58808449, 2646575953, 135989069049]
InvBinConv [1, -1, -1, 27, -51, -3505, 40655, 828919, -29640527, -145577529]
TransSqrs [0, 0, 2, 44, 946, 22276, 583866, 16999020, 546310786, 19245766516]
TransNat0 [0, 0, 2, 32, 542, 10532, 234978, 5955000, 169424326, 5354155276]
TransNat1 [1, 1, 7, 73, 1011, 17421, 358583, 8575169, 233499227, 7129778357]
PosHalf [1, 2, 16, 212, 3928, 93536, 2721808, 93593216, 3713245504, 166956801728]
NegHalf [1, -2, 8, -52, 472, -5504, 78416, -1320064, 25637824, -564275648]

CentralCycle:Rev Diagonals as rows

DiagRow Seq
DiagRow0 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow1 [1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
DiagRow2 [3, 20, 130, 924, 7308, 64224, 623376, 6636960, 76998240, 967524480]
DiagRow3 [15, 210, 2380, 26432, 303660, 3678840, 47324376, 647536032, 9418945536, 145410580224]
DiagRow4 [105, 2520, 44100, 705320, 11098780, 177331440, 2920525608, 49952862960, 890577127440, 16575803322624]
DiagRow5 [945, 34650, 866250, 18858840, 389449060, 7934927000, 162831789120, 3404554433280, 73017236532240, 1612674717387552]
DiagRow6 [10395, 540540, 18288270, 520059540, 13642629000, 345240896000, 8637235647040, 216752221445760, 5505619701582000, 142365888379391040]
DiagRow7 [135135, 9459450, 416215800, 14980405440, 486591585480, 14972984666640, 448594185959920, 13306928148113600, 395063504843607600, 11823446650905970080]
DiagRow8 [2027025, 183783600, 10199989800, 453247114320, 17856935296200, 656598399256800, 23209044289551120, 803351393628623840, 27563542664861323120, 945287743578415036800]
DiagRow9 [34459425, 3928374450, 268438920750, 14433720701400, 678103775949600, 29363447854540800, 1209167319314114160, 48300449110625712000, 1896599794387175878000, 73889075987105363784800]

CentralCycle:Rev Diagonals as columns

DiagCol Seq
DiagCol0 [1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425]
DiagCol1 [0, 2, 20, 210, 2520, 34650, 540540, 9459450, 183783600, 3928374450]
DiagCol2 [0, 6, 130, 2380, 44100, 866250, 18288270, 416215800, 10199989800, 268438920750]
DiagCol3 [0, 24, 924, 26432, 705320, 18858840, 520059540, 14980405440, 453247114320, 14433720701400]
DiagCol4 [0, 120, 7308, 303660, 11098780, 389449060, 13642629000, 486591585480, 17856935296200, 678103775949600]
DiagCol5 [0, 720, 64224, 3678840, 177331440, 7934927000, 345240896000, 14972984666640, 656598399256800, 29363447854540800]
DiagCol6 [0, 5040, 623376, 47324376, 2920525608, 162831789120, 8637235647040, 448594185959920, 23209044289551120, 1209167319314114160]
DiagCol7 [0, 40320, 6636960, 647536032, 49952862960, 3404554433280, 216752221445760, 13306928148113600, 803351393628623840, 48300449110625712000]
DiagCol8 [0, 362880, 76998240, 9418945536, 890577127440, 73017236532240, 5505619701582000, 395063504843607600, 27563542664861323120, 1896599794387175878000]
DiagCol9 [0, 3628800, 967524480, 145410580224, 16575803322624, 1612674717387552, 142365888379391040, 11823446650905970080, 945287743578415036800, 73889075987105363784800]

CentralCycle:Rev Polynomial values as rows

PolyRow Seq
PolyRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow2 [3, 5, 7, 9, 11, 13, 15, 17, 19, 21]
PolyRow3 [15, 41, 79, 129, 191, 265, 351, 449, 559, 681]
PolyRow4 [105, 469, 1237, 2553, 4561, 7405, 11229, 16177, 22393, 30021]
PolyRow5 [945, 6889, 24817, 64593, 138961, 263545, 456849, 740257, 1138033, 1677321]
PolyRow6 [10395, 123605, 607519, 1991817, 5154371, 11407645, 22585095, 41127569, 70169707, 113626341]
PolyRow7 [135135, 2620169, 17560063, 72473697, 225443951, 581896585, 1315007919, 2689741313, 5090512447, 9052483401]
PolyRow8 [2027025, 64074901, 585330109, 3039768729, 11361813721, 34187248525, 88152599781, 202456201969, 424884156769, 829504399941]
PolyRow9 [34459425, 1775623081, 22104345409, 144405631089, 648361511521, 2273638502425, 6687498224961, 17240991094369, 40113024301729, 85956226636041]

CentralCycle:Rev Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425]
PolyCol1 [1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081]
PolyCol2 [1, 1, 7, 79, 1237, 24817, 607519, 17560063, 585330109, 22104345409]
PolyCol3 [1, 1, 9, 129, 2553, 64593, 1991817, 72473697, 3039768729, 144405631089]
PolyCol4 [1, 1, 11, 191, 4561, 138961, 5154371, 225443951, 11361813721, 648361511521]
PolyCol5 [1, 1, 13, 265, 7405, 263545, 11407645, 581896585, 34187248525, 2273638502425]
PolyCol6 [1, 1, 15, 351, 11229, 456849, 22585095, 1315007919, 88152599781, 6687498224961]
PolyCol7 [1, 1, 17, 449, 16177, 740257, 41127569, 2689741313, 202456201969, 17240991094369]
PolyCol8 [1, 1, 19, 559, 22393, 1138033, 70169707, 5090512447, 424884156769, 40113024301729]
PolyCol9 [1, 1, 21, 681, 30021, 1677321, 113626341, 9052483401, 829504399941, 85956226636041]